Question

The decimal representation of a rational number is either terminating or _________.

• A. non-recurring
  
• B. recurring
• C. non-terminating and repeating decimal
  
• D. non-recurring non-terminating
  

Answer 1

The correct option is C non-terminating and repeating decimal


The decimal representation of a rational number is either terminating or repeating decimal.

Example:
If we divide $1$ by $3,$ we have the quotient as $0.333\dots .$ The number $3$ after the decimal is repeating non-terminating.
On the other hand, if we divide $1$ by $2,$ the quotient is $0.5$ which is a terminating decimal.